$Regularity criterion for 3D nematic liquid crystal flows in terms of finite frequency parts in B ˙ ∞ , ∞ − 1 $\dot{B}_{\infty,\infty }^{-1}$$

Regularity criterion for 3D nematic liquid crystal flows in terms of finite frequency parts in B ˙ ∞ , ∞ − 1 $\dot{B}_{\infty,\infty }^{-1}$

Abstract In this paper, we establish the regularity criterion for the weak solution of nematic liquid crystal flows in three dimensions when the L ∞ ( 0 , T ; B ˙ ∞ , ∞ − 1 ) $L^{\infty }(0,T;\dot{B}_{\infty,\infty }^{-1})$ -norm of a suitable low frequency part of ( u , ∇ d ) $(u,\nabla d)$ is boun...

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Bibliographic Details
Main Authors:	Xiaoli Chen, Haiyan Cheng
Format:	Article
Language:	English
Published:	SpringerOpen 2021-02-01
Series:	Boundary Value Problems
Subjects:	Liquid crystal flow Regularity criterion Weak solution B ˙ ∞ , ∞ − 1 $\dot{B}_{\infty,\infty }^{-1}$
Online Access:	https://doi.org/10.1186/s13661-021-01500-1

Internet

https://doi.org/10.1186/s13661-021-01500-1

Regularity criterion for 3D nematic liquid crystal flows in terms of finite frequency parts in B ˙ ∞ , ∞ − 1 $\dot{B}_{\infty,\infty }^{-1}$

Internet

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